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Electromagnetism Formula

What is Electric Field of a Point Charge?

A point charge q creates an electric field E that falls off as the inverse square of distance.

Formula: E = \frac{kq}{r^2}

Plain-English Meaning

A point charge q creates an electric field E that falls off as the inverse square of distance.

Keep charge, field, potential, and current distinct. That single habit fixes a large fraction of electromagnetism errors.

Deeper Explanation

A point charge q creates an electric field E that falls off as the inverse square of distance.

Worked Example

Problem: Find E 0.3 m from a +5 μC point charge.

  • k = 9×10⁹ N·m²/C²
  • E = kq/r² = 9×10⁹ × 5×10⁻⁶ / (0.3)²
  • E = 4.5×10⁴ / 0.09 = 5×10⁵ V/m

Result: E ≈ 5×10⁵ V/m

At A Glance

Category: Electromagnetism

Levels covered:

Best use: Start with the formula meaning, then move to the worked example and quiz so the equation turns into a tool instead of a memorised line.